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Discrete Fourier Transform in Nanostructures using Scattering
Journal article   Open access   Peer reviewed

Discrete Fourier Transform in Nanostructures using Scattering

Michael N Leuenberger, Daniel Loss, Michael E Flatte and D. D Awschalom
Journal of applied physics, Vol.95(12), pp.8167-8171
06/15/2004
DOI: 10.1063/1.1737804
url
https://arxiv.org/pdf/cond-mat/0302279View
Open Access

Abstract

In this article, we show that the discrete Fourier transform (DFT) can be performed by scattering a coherent particle or laser beam off an electrically controllable two-dimensional (2D) potential that has the shape of rings or peaks. After encoding the initial vector into the two-dimensional potential by means of electric gates, the Fourier-transformed vector can be read out by detectors surrounding the potential. The wavelength of the laser beam determines the necessary accuracy of the 2D potential, which makes our method very fault-tolerant. Since the time to perform the DFT is much smaller than the clock cycle of today’s computers, our proposed device performs DFTs at the frequency of the computer clock speed.
Physics - Mesoscale and Nanoscale Physics

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